Dynamic analysis of an impulsive differential equation with time-varying delays |
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| Authors: | Ying Li Yuanfu Shao |
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| Institution: | 1. School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan, 410075, P.R.China
2. School of Science, Guilin University of Technology, Guilin, Guangxi, 541004, P.R.China
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| Abstract: | An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results. |
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